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Formula
Graph
$y = x ^ { 2 } + 3 x + 1$
$y = 0$
$x$Intercept
$\left ( - \dfrac { 3 } { 2 } - \dfrac { \sqrt{ 5 } } { 2 } , 0 \right )$, $\left ( - \dfrac { 3 } { 2 } + \dfrac { \sqrt{ 5 } } { 2 } , 0 \right )$
$y$Intercept
$\left ( 0 , 1 \right )$
Minimum
$\left ( - \dfrac { 3 } { 2 } , - \dfrac { 5 } { 4 } \right )$
Standard form
$y = \left ( x + \dfrac { 3 } { 2 } \right ) ^ { 2 } - \dfrac { 5 } { 4 }$
$$x ^ { 2 } + 3 x + 1 = 0$$
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